No way is Washington moving Terry for less than a 1st. He's young, really good, and at least for '22, highly affordable.
Cooks is probably quite a bit more obtainable. The passing around the league stuff doesn't bother me much, it's not like he's a known head case. I think it's partly been circumstantial and partly because his concussion history has scared teams. But he's been productive everywhere. If you could get him for a 3rd, you could do far worse on a 1 year rental.